102013641 has 32 divisors (see below), whose sum is σ = 162508800. Its totient is φ = 63043920.

The previous prime is 102013627. The next prime is 102013643. The reversal of 102013641 is 146310201.

It is a happy number.

102013641 is a `hidden beast` number, since 1 + 0 + 20 + 1 + 3 + 641 = 666.

It is not a de Polignac number, because 102013641 - 2⁶ = 102013577 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102013643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21996 + ... + 26226.

It is an arithmetic number, because the mean of its divisors is an integer number (5078400).

Almost surely, 2^102013641 is an apocalyptic number.

It is an amenable number.

102013641 is a deficient number, since it is larger than the sum of its proper divisors (60495159).

102013641 is a wasteful number, since it uses less digits than its factorization.

102013641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4306 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 102013641 is about 10100.1802459164. The cubic root of 102013641 is about 467.2537004156.

Adding to 102013641 its reverse (146310201), we get a palindrome (248323842).

The spelling of 102013641 in words is "one hundred two million, thirteen thousand, six hundred forty-one".